﻿<?xml version="1.0" encoding="utf-8" standalone="yes"?>
<?application progid="SMath Studio" version="0.95"?>
<regions>
  <settings>
    <calculation>
      <precision>2</precision>
      <exponentialThreshold>3</exponentialThreshold>
      <fractions>decimal</fractions>
    </calculation>
    <pageModel active="true" printAreas="true" simpleEqualsOnly="false">
      <paper id="9" orientation="Portrait" width="827" height="1169" />
      <margins left="39" right="39" top="39" bottom="39" />
      <header alignment="Center" color="#a9a9a9">&amp;[DATE] &amp;[TIME] - &amp;[FILENAME]</header>
      <footer alignment="Center" color="#a9a9a9">&amp;[PAGENUM] / &amp;[COUNT]</footer>
    </pageModel>
    <dependences>
      <assembly name="SMath Studio" version="0.95" guid="a37cba83-b69c-4c71-9992-55ff666763bd" />
      <assembly name="Math Region" version="0.95" guid="02f1ab51-215b-466e-a74d-5d8b1cf85e8d" />
      <assembly name="Plot Region" version="1.7.4594.38" guid="c451c2b5-798b-4f08-b9ec-b90963d1ddaa" />
      <assembly name="Special Functions" version="1.9.4594.42" guid="2814e667-4e12-48b1-8d51-194e480eabc5" />
      <assembly name="Text Region" version="1.8.4594.45" guid="485d28c5-349a-48b6-93be-12a35a1c1e39" />
      <assembly name="Non Linear Solvers" version="1.0.4665.17538" guid="00000000-0000-0000-0000-000000000000" />
    </dependences>
  </settings>
  <region id="0" left="27" top="0" width="368" height="28" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">x</e>
        <e type="function" args="1">f</e>
        <e type="operand">x</e>
        <e type="operand" style="unit">°</e>
        <e type="operator" args="2">*</e>
        <e type="function" preserve="true" args="1">sin</e>
        <e type="operand">2</e>
        <e type="operand">x</e>
        <e type="operand" style="unit">°</e>
        <e type="operator" args="2">*</e>
        <e type="function" preserve="true" args="1">cos</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">-</e>
        <e type="operand">2</e>
        <e type="operand">x</e>
        <e type="operand" style="unit">°</e>
        <e type="operator" args="2">*</e>
        <e type="function" preserve="true" args="1">sin</e>
        <e type="operator" args="2">*</e>
        <e type="operand">x</e>
        <e type="operand" style="unit">°</e>
        <e type="operator" args="2">*</e>
        <e type="function" preserve="true" args="1">cos</e>
        <e type="operator" args="2">+</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">-</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="1" left="27" top="27" width="312" height="28" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">x</e>
        <e type="function" args="1">g</e>
        <e type="operand">x</e>
        <e type="function" preserve="true" args="1">sin</e>
        <e type="operand">2</e>
        <e type="operand">x</e>
        <e type="function" preserve="true" args="1">cos</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">-</e>
        <e type="operand">2</e>
        <e type="operand">x</e>
        <e type="function" preserve="true" args="1">sin</e>
        <e type="operator" args="2">*</e>
        <e type="operand">x</e>
        <e type="function" preserve="true" args="1">cos</e>
        <e type="operator" args="2">+</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">-</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="2" left="18" top="63" width="240" height="158" color="#000000" bgColor="#ffffff" fontSize="10">
    <plot type="2d" render="lines" scale_x="1.51626319541181" scale_y="0.0413184832925454" scale_z="0.0569542686424765" rotate_x="0" rotate_y="0" rotate_z="0" transpose_x="-67" transpose_y="-4" transpose_z="0">
      <input>
        <e type="operand">x</e>
        <e type="operand" style="unit">°</e>
        <e type="operator" args="2">*</e>
        <e type="function" preserve="true" args="1">sin</e>
        <e type="operand">2</e>
        <e type="operand">x</e>
        <e type="operand" style="unit">°</e>
        <e type="operator" args="2">*</e>
        <e type="function" preserve="true" args="1">cos</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">-</e>
        <e type="operand">2</e>
        <e type="operand">x</e>
        <e type="operand" style="unit">°</e>
        <e type="operator" args="2">*</e>
        <e type="function" preserve="true" args="1">sin</e>
        <e type="operator" args="2">*</e>
        <e type="operand">x</e>
        <e type="operand" style="unit">°</e>
        <e type="operator" args="2">*</e>
        <e type="function" preserve="true" args="1">cos</e>
        <e type="operator" args="2">+</e>
        <e type="operand">x</e>
        <e type="function" args="1">f</e>
        <e type="operand">x</e>
        <e type="operand">0</e>
        <e type="operator" args="2">&gt;</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">*</e>
        <e type="operand">x</e>
        <e type="operand">360</e>
        <e type="operator" args="2">&lt;</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">*</e>
        <e type="operand">3</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="5">sys</e>
      </input>
    </plot>
  </region>
  <region id="3" left="18" top="297" width="322" height="28" color="#000000" bgColor="#ffffff" fontSize="10">
    <math error="70">
      <input>
        <e type="operand">x</e>
        <e type="function" args="1">f</e>
        <e type="operand">360</e>
        <e type="operator" args="1">-</e>
        <e type="operand">360</e>
        <e type="operand">0.01</e>
        <e type="operand">20</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="6">BDQRF</e>
      </input>
      <result action="numeric">
        <e type="operand">#</e>
      </result>
    </math>
  </region>
  <region id="4" left="396" top="306" width="216" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>impossible to find answer</p>
    </text>
  </region>
  <region id="5" left="18" top="333" width="346" height="46" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">x</e>
        <e type="function" args="1">f</e>
        <e type="operand">0</e>
        <e type="operand">180</e>
        <e type="operand">0.01</e>
        <e type="operand">20</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="6">BDQRF</e>
      </input>
      <result action="numeric">
        <e type="operand">108.47</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="3">mat</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">mat</e>
      </result>
    </math>
  </region>
  <region id="6" left="18" top="387" width="329" height="28" color="#000000" bgColor="#ffffff" fontSize="10">
    <math error="2">
      <input>
        <e type="operand">x</e>
        <e type="function" args="1">f</e>
        <e type="operand">0</e>
        <e type="operand">180</e>
        <e type="operand">0.01</e>
        <e type="operand">20</e>
        <e type="operand">1</e>
        <e type="function" args="6">Bisection</e>
      </input>
      <result action="numeric">
        <e type="operand">#</e>
      </result>
    </math>
  </region>
  <region id="7" left="396" top="387" width="102" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>x undefined</p>
    </text>
  </region>
  <region id="8" left="18" top="423" width="346" height="46" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">x</e>
        <e type="function" args="1">f</e>
        <e type="operand">0</e>
        <e type="operand">180</e>
        <e type="operand">0.01</e>
        <e type="operand">20</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="6">Brent</e>
      </input>
      <result action="numeric">
        <e type="operand">108.38</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="3">mat</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">mat</e>
      </result>
    </math>
  </region>
  <region id="9" left="18" top="468" width="323" height="46" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">x</e>
        <e type="function" args="1">f</e>
        <e type="operand">0</e>
        <e type="operand">0.01</e>
        <e type="operand">20</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="5">Broyden</e>
      </input>
      <result action="numeric">
        <e type="operand">71.57</e>
        <e type="operator" args="1">-</e>
        <e type="operand">7</e>
        <e type="operand">1</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="3">mat</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">mat</e>
      </result>
    </math>
  </region>
  <region id="10" left="396" top="468" width="289" height="40" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>wrong format of input string (withdec , and arg ;)</p>
    </text>
  </region>
  <region id="11" left="18" top="513" width="298" height="46" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">x</e>
        <e type="function" args="1">f</e>
        <e type="operand">0</e>
        <e type="operand">0.01</e>
        <e type="operand">20</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="5">HRE.B</e>
      </input>
      <result action="numeric">
        <e type="operand">71.57</e>
        <e type="operator" args="1">-</e>
        <e type="operand">43</e>
        <e type="operand">1</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="3">mat</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">mat</e>
      </result>
    </math>
  </region>
  <region id="12" left="396" top="513" width="289" height="40" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>wrong format of input string (withdec , and arg ;)</p>
    </text>
  </region>
  <region id="13" left="18" top="558" width="303" height="46" color="#000000" bgColor="#ffffff" fontSize="10">
    <math evaluate="false">
      <input>
        <e type="operand">x</e>
        <e type="function" args="1">f</e>
        <e type="operand">0</e>
        <e type="operand">0.01</e>
        <e type="operand">200</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="5">HRE.NR</e>
      </input>
      <result action="numeric">
        <e type="operand">71.57</e>
        <e type="operator" args="1">-</e>
        <e type="operand">200</e>
        <e type="operand">1</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="3">mat</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">mat</e>
      </result>
    </math>
  </region>
  <region id="14" left="396" top="567" width="209" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>not converged after 8,9s</p>
    </text>
  </region>
  <region id="15" left="18" top="603" width="303" height="46" color="#000000" bgColor="#ffffff" fontSize="10">
    <math evaluate="false">
      <input>
        <e type="operand">x</e>
        <e type="function" args="1">f</e>
        <e type="operand">0</e>
        <e type="operand">0.01</e>
        <e type="operand">200</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="5">HRE.RK</e>
      </input>
      <result action="numeric">
        <e type="operand">71.57</e>
        <e type="operator" args="1">-</e>
        <e type="operand">200</e>
        <e type="operand">1</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="3">mat</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">mat</e>
      </result>
    </math>
  </region>
  <region id="16" left="396" top="612" width="217" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>not converged after 10,1s</p>
    </text>
  </region>
  <region id="17" left="18" top="648" width="372" height="46" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">x</e>
        <e type="function" args="1">f</e>
        <e type="operand">0</e>
        <e type="operand">0.1</e>
        <e type="operand">20</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="5">NewtonRaphson</e>
      </input>
      <result action="numeric">
        <e type="operand">431.56</e>
        <e type="operator" args="1">-</e>
        <e type="operand">5</e>
        <e type="operand">1</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="3">mat</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">mat</e>
      </result>
    </math>
  </region>
  <region id="18" left="18" top="693" width="354" height="46" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">x</e>
        <e type="function" args="1">f</e>
        <e type="operand">0</e>
        <e type="operand">180</e>
        <e type="operand">0.01</e>
        <e type="operand">20</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="6">Ridder</e>
      </input>
      <result action="numeric">
        <e type="operand">108.53</e>
        <e type="operand">4</e>
        <e type="operand">1</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="3">mat</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">mat</e>
      </result>
    </math>
  </region>
  <region id="19" left="18" top="738" width="354" height="46" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">x</e>
        <e type="function" args="1">f</e>
        <e type="operand">0</e>
        <e type="operand">180</e>
        <e type="operand">0.01</e>
        <e type="operand">20</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="6">Secant</e>
      </input>
      <result action="numeric">
        <e type="operand">108.38</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="3">mat</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">mat</e>
      </result>
    </math>
  </region>
  <region id="20" left="18" top="792" width="150" height="28" color="#000000" bgColor="#ffffff" fontSize="10">
    <math error="16">
      <input>
        <e type="operand">x</e>
        <e type="function" args="1">f</e>
        <e type="operand">x</e>
        <e type="function" preserve="true" args="2">solve</e>
      </input>
      <result action="numeric">
        <e type="operand">#</e>
      </result>
    </math>
  </region>
  <region id="21" left="396" top="792" width="118" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>no real roots</p>
    </text>
  </region>
  <region id="22" left="18" top="819" width="312" height="80" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">x</e>
        <e type="function" args="1">f</e>
        <e type="operand">x</e>
        <e type="operand">0</e>
        <e type="operand">360</e>
        <e type="operator" args="2">-</e>
        <e type="operand">360</e>
        <e type="function" preserve="true" args="4">solve</e>
      </input>
      <result action="numeric">
        <e type="operand">251.57</e>
        <e type="operator" args="1">-</e>
        <e type="operand">71.57</e>
        <e type="operator" args="1">-</e>
        <e type="operand">108.43</e>
        <e type="operand">288.43</e>
        <e type="operand">4</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="6">mat</e>
      </result>
    </math>
  </region>
  <region id="23" left="18" top="909" width="150" height="28" color="#000000" bgColor="#ffffff" fontSize="10">
    <math error="16">
      <input>
        <e type="operand">x</e>
        <e type="function" args="1">f</e>
        <e type="operand">x</e>
        <e type="function" preserve="true" args="2">roots</e>
      </input>
      <result action="numeric">
        <e type="operand">#</e>
      </result>
    </math>
  </region>
  <region id="24" left="396" top="909" width="118" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>no real roots</p>
    </text>
  </region>
  <region id="25" left="18" top="945" width="174" height="28" color="#000000" bgColor="#ffffff" fontSize="10">
    <math error="16">
      <input>
        <e type="operand">x</e>
        <e type="function" args="1">f</e>
        <e type="operand">x</e>
        <e type="operand">0</e>
        <e type="function" preserve="true" args="3">roots</e>
      </input>
      <result action="numeric">
        <e type="operand">#</e>
      </result>
    </math>
  </region>
  <region id="26" left="396" top="945" width="118" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>no real roots</p>
    </text>
  </region>
  <region id="27" left="18" top="972" width="232" height="28" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">x</e>
        <e type="function" args="1">f</e>
        <e type="operand">x</e>
        <e type="operand">10</e>
        <e type="function" preserve="true" args="3">roots</e>
      </input>
      <result action="numeric">
        <e type="operand">431.57</e>
        <e type="operator" args="1">-</e>
      </result>
    </math>
  </region>
</regions>